Partial Differential Equations and Complex Analysis (MAT 201)

COURSE DESCRIPTION

This is a comprehensive course on ‘Partial Differential Equations and Complex Analysis‘ prepared for the Engineering students of KTU to introduce basic ideas of partial differential equations which are widely used in the modelling and analysis of a wide range of physical phenomena and has got application across all branches of engineering, to understand the basic theory of functions of a complex variable, residue integration and conformal transformation and also to prepare them for their university examination. The course content covers the essential  fundamentals as per the curriculum assigned by APJ Abdul Kalam Technological University (KTU). The student can attempt the optional assignment questions and MCQ test to strengthen their knowledge on the topic. The assessment algorithm of our LMS will help the students evaluate their performance till they get a certification of completion.

COURSE OUTCOME

• Understand the concept and the solution of partial differential equation.
• Analyse and solve one dimensional wave equation and heat equation.
• Understand complex functions, its continuity differentiability with the use of Cauchy-Riemann equations.
• Evaluate complex integrals using Cauchy’s integral theorem and Cauchy’s integral formula, understand the series expansion of analytic function.
• Understand the series expansion of complex function about a singularity and Apply residue theorem to compute several kinds of real integrals.

KEY FEATURES

• Over 100+ lectures covering all the modules from the syllabus.
• Learn Partial Differential Equations and Complex Analysis from a professional trainer from your own desk.
• Suitable for beginners to advance level users.
• Personalized training for easy understanding.
• Covers each and every aspects of the content.
• Clear all your doubts online.
• MCQ test for practice after each Module.
• Practice assignment questions after each session.
• Assessment algorithm for self-evaluation.
• Pass certification after completing the minimum-criteria with unlimited attempts at hand.

CERTIFICATION

Once you pass the course, you attain a certification of completion from Pace Lab. It will have a unique identifier and will be emblazoned by licensed institution logo. Authenticity of the certificate can be verified by scanning the QR code provided on the certificate.